Respuesta :
Answer:
The probability that exactly 2 of 5 use their smartphones in meetings or classes is 0.3442.
Step-by-step explanation:
Let X = number of adults who use smartphones in meetings or classes.
The probability of the random variable X is, P(X) = p = 0.42
A sample of n = 5 adult smartphone users are selected.
The random variable X follows a Binomial distribution with parameters n and p.
The probability mass function of X is:
[tex]P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...[/tex]
Compute the value of P (X = 2) as follows:
[tex]P(X=2)={5\choose 2}0.42^{2}(1-0.42)^{5-2}\\=10\times 0.1764\times0.195112\\=0.344177\\\approx0.3442[/tex]
Thus, the probability that exactly 2 of 5 use their smartphones in meetings or classes is 0.3442.
